-#ifdef __SUNPRO_C
-# include "../bn_asm.c" /* kind of dirty hack for Sun Studio */
-#else
-#include <stddef.h>
/*
+ * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include "../bn_lcl.h"
+#if !(defined(__GNUC__) && __GNUC__>=2)
+# include "../bn_asm.c" /* kind of dirty hack for Sun Studio */
+#else
+/*-
* x86_64 BIGNUM accelerator version 0.1, December 2002.
*
- * Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * Implemented by Andy Polyakov <appro@openssl.org> for the OpenSSL
* project.
*
* Rights for redistribution and usage in source and binary forms are
- * granted according to the OpenSSL license. Warranty of any kind is
- * disclaimed.
+ * granted according to the License. Warranty of any kind is disclaimed.
*
* Q. Version 0.1? It doesn't sound like Andy, he used to assign real
* versions, like 1.0...
* Q. How much faster does it get?
* A. 'apps/openssl speed rsa dsa' output with no-asm:
*
- * sign verify sign/s verify/s
- * rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2
- * rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0
- * rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8
- * rsa 4096 bits 0.1155s 0.0018s 8.7 555.6
- * sign verify sign/s verify/s
- * dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3
- * dsa 1024 bits 0.0014s 0.0018s 692.3 559.2
- * dsa 2048 bits 0.0049s 0.0061s 204.7 165.0
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2
+ * rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0
+ * rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8
+ * rsa 4096 bits 0.1155s 0.0018s 8.7 555.6
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3
+ * dsa 1024 bits 0.0014s 0.0018s 692.3 559.2
+ * dsa 2048 bits 0.0049s 0.0061s 204.7 165.0
*
* 'apps/openssl speed rsa dsa' output with this module:
*
- * sign verify sign/s verify/s
- * rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9
- * rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7
- * rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0
- * rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8
- * sign verify sign/s verify/s
- * dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3
- * dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4
- * dsa 2048 bits 0.0016s 0.0020s 620.4 504.6
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9
+ * rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7
+ * rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0
+ * rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3
+ * dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4
+ * dsa 2048 bits 0.0016s 0.0020s 620.4 504.6
*
* For the reference. IA-32 assembler implementation performs
* very much like 64-bit code compiled with no-asm on the same
* machine.
*/
-#define BN_ULONG unsigned long
+# undef mul
+# undef mul_add
-/*
- * "m"(a), "+m"(r) is the way to favor DirectPath µ-code;
- * "g"(0) let the compiler to decide where does it
- * want to keep the value of zero;
+/*-
+ * "m"(a), "+m"(r) is the way to favor DirectPath µ-code;
+ * "g"(0) let the compiler to decide where does it
+ * want to keep the value of zero;
*/
-#define mul_add(r,a,word,carry) do { \
- register BN_ULONG high,low; \
- asm ("mulq %3" \
- : "=a"(low),"=d"(high) \
- : "a"(word),"m"(a) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(carry),"+d"(high)\
- : "a"(low),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+m"(r),"+d"(high) \
- : "r"(carry),"g"(0) \
- : "cc"); \
- carry=high; \
- } while (0)
-
-#define mul(r,a,word,carry) do { \
- register BN_ULONG high,low; \
- asm ("mulq %3" \
- : "=a"(low),"=d"(high) \
- : "a"(word),"g"(a) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(carry),"+d"(high)\
- : "a"(low),"g"(0) \
- : "cc"); \
- (r)=carry, carry=high; \
- } while (0)
-
-#define sqr(r0,r1,a) \
- asm ("mulq %2" \
- : "=a"(r0),"=d"(r1) \
- : "a"(a) \
- : "cc");
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul_add(rp[0],ap[0],w,c1);
- mul_add(rp[1],ap[1],w,c1);
- mul_add(rp[2],ap[2],w,c1);
- mul_add(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
- mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
- mul_add(rp[2],ap[2],w,c1); return c1;
- }
-
- return(c1);
- }
-
-BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul(rp[0],ap[0],w,c1);
- mul(rp[1],ap[1],w,c1);
- mul(rp[2],ap[2],w,c1);
- mul(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
- mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
- mul(rp[2],ap[2],w,c1);
- }
- return(c1);
- }
-
-void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
- {
- if (n <= 0) return;
-
- while (n&~3)
- {
- sqr(r[0],r[1],a[0]);
- sqr(r[2],r[3],a[1]);
- sqr(r[4],r[5],a[2]);
- sqr(r[6],r[7],a[3]);
- a+=4; r+=8; n-=4;
- }
- if (n)
- {
- sqr(r[0],r[1],a[0]); if (--n == 0) return;
- sqr(r[2],r[3],a[1]); if (--n == 0) return;
- sqr(r[4],r[5],a[2]);
- }
- }
+# define mul_add(r,a,word,carry) do { \
+ register BN_ULONG high,low; \
+ asm ("mulq %3" \
+ : "=a"(low),"=d"(high) \
+ : "a"(word),"m"(a) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry),"+d"(high)\
+ : "a"(low),"g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+m"(r),"+d"(high) \
+ : "r"(carry),"g"(0) \
+ : "cc"); \
+ carry=high; \
+ } while (0)
+
+# define mul(r,a,word,carry) do { \
+ register BN_ULONG high,low; \
+ asm ("mulq %3" \
+ : "=a"(low),"=d"(high) \
+ : "a"(word),"g"(a) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry),"+d"(high)\
+ : "a"(low),"g"(0) \
+ : "cc"); \
+ (r)=carry, carry=high; \
+ } while (0)
+# undef sqr
+# define sqr(r0,r1,a) \
+ asm ("mulq %2" \
+ : "=a"(r0),"=d"(r1) \
+ : "a"(a) \
+ : "cc");
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w)
+{
+ BN_ULONG c1 = 0;
+
+ if (num <= 0)
+ return c1;
+
+ while (num & ~3) {
+ mul_add(rp[0], ap[0], w, c1);
+ mul_add(rp[1], ap[1], w, c1);
+ mul_add(rp[2], ap[2], w, c1);
+ mul_add(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul_add(rp[0], ap[0], w, c1);
+ if (--num == 0)
+ return c1;
+ mul_add(rp[1], ap[1], w, c1);
+ if (--num == 0)
+ return c1;
+ mul_add(rp[2], ap[2], w, c1);
+ return c1;
+ }
+
+ return c1;
+}
+
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+{
+ BN_ULONG c1 = 0;
+
+ if (num <= 0)
+ return c1;
+
+ while (num & ~3) {
+ mul(rp[0], ap[0], w, c1);
+ mul(rp[1], ap[1], w, c1);
+ mul(rp[2], ap[2], w, c1);
+ mul(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul(rp[0], ap[0], w, c1);
+ if (--num == 0)
+ return c1;
+ mul(rp[1], ap[1], w, c1);
+ if (--num == 0)
+ return c1;
+ mul(rp[2], ap[2], w, c1);
+ }
+ return c1;
+}
+
+void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
+{
+ if (n <= 0)
+ return;
+
+ while (n & ~3) {
+ sqr(r[0], r[1], a[0]);
+ sqr(r[2], r[3], a[1]);
+ sqr(r[4], r[5], a[2]);
+ sqr(r[6], r[7], a[3]);
+ a += 4;
+ r += 8;
+ n -= 4;
+ }
+ if (n) {
+ sqr(r[0], r[1], a[0]);
+ if (--n == 0)
+ return;
+ sqr(r[2], r[3], a[1]);
+ if (--n == 0)
+ return;
+ sqr(r[4], r[5], a[2]);
+ }
+}
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
-{ BN_ULONG ret,waste;
+{
+ BN_ULONG ret, waste;
- asm ("divq %4"
- : "=a"(ret),"=d"(waste)
- : "a"(l),"d"(h),"g"(d)
- : "cc");
+ asm("divq %4":"=a"(ret), "=d"(waste)
+ : "a"(l), "d"(h), "r"(d)
+ : "cc");
- return ret;
+ return ret;
}
-BN_ULONG bn_add_words (BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp, size_t n)
-{ BN_ULONG ret=0,i=0;
-
- if (n <= 0) return 0;
-
- asm (
- " subq %2,%2 \n"
- ".align 16 \n"
- "1: movq (%4,%2,8),%0 \n"
- " adcq (%5,%2,8),%0 \n"
- " movq %0,(%3,%2,8) \n"
- " leaq 1(%2),%2 \n"
- " loop 1b \n"
- " sbbq %0,%0 \n"
- : "=&a"(ret),"+c"(n),"=&r"(i)
- : "r"(rp),"r"(ap),"r"(bp)
- : "cc"
- );
-
- return ret&1;
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ int n)
+{
+ BN_ULONG ret;
+ size_t i = 0;
+
+ if (n <= 0)
+ return 0;
+
+ asm volatile (" subq %0,%0 \n" /* clear carry */
+ " jmp 1f \n"
+ ".p2align 4 \n"
+ "1: movq (%4,%2,8),%0 \n"
+ " adcq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " lea 1(%2),%2 \n"
+ " dec %1 \n"
+ " jnz 1b \n"
+ " sbbq %0,%0 \n"
+ :"=&r" (ret), "+c"(n), "+r"(i)
+ :"r"(rp), "r"(ap), "r"(bp)
+ :"cc", "memory");
+
+ return ret & 1;
}
-#ifndef SIMICS
-BN_ULONG bn_sub_words (BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int n)
-{ BN_ULONG ret=0,i=0;
-
- if (n <= 0) return 0;
-
- asm (
- " subq %2,%2 \n"
- ".align 16 \n"
- "1: movq (%4,%2,8),%0 \n"
- " sbbq (%5,%2,8),%0 \n"
- " movq %0,(%3,%2,8) \n"
- " leaq 1(%2),%2 \n"
- " loop 1b \n"
- " sbbq %0,%0 \n"
- : "=&a"(ret),"+c"(n),"=&r"(i)
- : "r"(rp),"r"(ap),"r"(bp)
- : "cc"
- );
-
- return ret&1;
+# ifndef SIMICS
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ int n)
+{
+ BN_ULONG ret;
+ size_t i = 0;
+
+ if (n <= 0)
+ return 0;
+
+ asm volatile (" subq %0,%0 \n" /* clear borrow */
+ " jmp 1f \n"
+ ".p2align 4 \n"
+ "1: movq (%4,%2,8),%0 \n"
+ " sbbq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " lea 1(%2),%2 \n"
+ " dec %1 \n"
+ " jnz 1b \n"
+ " sbbq %0,%0 \n"
+ :"=&r" (ret), "+c"(n), "+r"(i)
+ :"r"(rp), "r"(ap), "r"(bp)
+ :"cc", "memory");
+
+ return ret & 1;
}
-#else
+# else
/* Simics 1.4<7 has buggy sbbq:-( */
-#define BN_MASK2 0xffffffffffffffffL
+# define BN_MASK2 0xffffffffffffffffL
BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
- {
- BN_ULONG t1,t2;
- int c=0;
-
- if (n <= 0) return((BN_ULONG)0);
-
- for (;;)
- {
- t1=a[0]; t2=b[0];
- r[0]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[1]; t2=b[1];
- r[1]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[2]; t2=b[2];
- r[2]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[3]; t2=b[3];
- r[3]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- a+=4;
- b+=4;
- r+=4;
- }
- return(c);
- }
-#endif
+{
+ BN_ULONG t1, t2;
+ int c = 0;
+
+ if (n <= 0)
+ return (BN_ULONG)0;
+
+ for (;;) {
+ t1 = a[0];
+ t2 = b[0];
+ r[0] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[1];
+ t2 = b[1];
+ r[1] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[2];
+ t2 = b[2];
+ r[2] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[3];
+ t2 = b[3];
+ r[3] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ a += 4;
+ b += 4;
+ r += 4;
+ }
+ return c;
+}
+# endif
/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
-/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
+/*
+ * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
+ * c=(c2,c1,c0)
+ */
-#if 0
+/*
+ * Keep in mind that carrying into high part of multiplication result
+ * can not overflow, because it cannot be all-ones.
+ */
+# if 0
/* original macros are kept for reference purposes */
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- t1 = ta * tb; \
- t2 = BN_UMULT_HIGH(ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- t1 = BN_UMULT_HIGH(ta,tb); \
- t0 = ta * tb; \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-#else
-#define mul_add_c(a,b,c0,c1,c2) do { \
- asm ("mulq %3" \
- : "=a"(t1),"=d"(t2) \
- : "a"(a),"m"(b) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
- } while (0)
-
-#define sqr_add_c(a,i,c0,c1,c2) do { \
- asm ("mulq %2" \
- : "=a"(t1),"=d"(t2) \
- : "a"(a[i]) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
- } while (0)
-
-#define mul_add_c2(a,b,c0,c1,c2) do { \
- asm ("mulq %3" \
- : "=a"(t1),"=d"(t2) \
- : "a"(a),"m"(b) \
- : "cc"); \
- asm ("addq %0,%0; adcq %2,%1" \
- : "+d"(t2),"+r"(c2) \
- : "g"(0) \
- : "cc"); \
- asm ("addq %0,%0; adcq %2,%1" \
- : "+a"(t1),"+d"(t2) \
- : "g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
- } while (0)
-#endif
-
-#define sqr_add_c2(a,i,j,c0,c1,c2) \
- mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi, tt; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; tt = hi+((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+# else
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
+ asm ("mulq %3" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a),"m"(b) \
+ : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
+ asm ("mulq %2" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a[i]) \
+ : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
+ asm ("mulq %3" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a),"m"(b) \
+ : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+# endif
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- mul_add_c(a[0],b[0],c1,c2,c3);
- r[0]=c1;
- c1=0;
- mul_add_c(a[0],b[1],c2,c3,c1);
- mul_add_c(a[1],b[0],c2,c3,c1);
- r[1]=c2;
- c2=0;
- mul_add_c(a[2],b[0],c3,c1,c2);
- mul_add_c(a[1],b[1],c3,c1,c2);
- mul_add_c(a[0],b[2],c3,c1,c2);
- r[2]=c3;
- c3=0;
- mul_add_c(a[0],b[3],c1,c2,c3);
- mul_add_c(a[1],b[2],c1,c2,c3);
- mul_add_c(a[2],b[1],c1,c2,c3);
- mul_add_c(a[3],b[0],c1,c2,c3);
- r[3]=c1;
- c1=0;
- mul_add_c(a[4],b[0],c2,c3,c1);
- mul_add_c(a[3],b[1],c2,c3,c1);
- mul_add_c(a[2],b[2],c2,c3,c1);
- mul_add_c(a[1],b[3],c2,c3,c1);
- mul_add_c(a[0],b[4],c2,c3,c1);
- r[4]=c2;
- c2=0;
- mul_add_c(a[0],b[5],c3,c1,c2);
- mul_add_c(a[1],b[4],c3,c1,c2);
- mul_add_c(a[2],b[3],c3,c1,c2);
- mul_add_c(a[3],b[2],c3,c1,c2);
- mul_add_c(a[4],b[1],c3,c1,c2);
- mul_add_c(a[5],b[0],c3,c1,c2);
- r[5]=c3;
- c3=0;
- mul_add_c(a[6],b[0],c1,c2,c3);
- mul_add_c(a[5],b[1],c1,c2,c3);
- mul_add_c(a[4],b[2],c1,c2,c3);
- mul_add_c(a[3],b[3],c1,c2,c3);
- mul_add_c(a[2],b[4],c1,c2,c3);
- mul_add_c(a[1],b[5],c1,c2,c3);
- mul_add_c(a[0],b[6],c1,c2,c3);
- r[6]=c1;
- c1=0;
- mul_add_c(a[0],b[7],c2,c3,c1);
- mul_add_c(a[1],b[6],c2,c3,c1);
- mul_add_c(a[2],b[5],c2,c3,c1);
- mul_add_c(a[3],b[4],c2,c3,c1);
- mul_add_c(a[4],b[3],c2,c3,c1);
- mul_add_c(a[5],b[2],c2,c3,c1);
- mul_add_c(a[6],b[1],c2,c3,c1);
- mul_add_c(a[7],b[0],c2,c3,c1);
- r[7]=c2;
- c2=0;
- mul_add_c(a[7],b[1],c3,c1,c2);
- mul_add_c(a[6],b[2],c3,c1,c2);
- mul_add_c(a[5],b[3],c3,c1,c2);
- mul_add_c(a[4],b[4],c3,c1,c2);
- mul_add_c(a[3],b[5],c3,c1,c2);
- mul_add_c(a[2],b[6],c3,c1,c2);
- mul_add_c(a[1],b[7],c3,c1,c2);
- r[8]=c3;
- c3=0;
- mul_add_c(a[2],b[7],c1,c2,c3);
- mul_add_c(a[3],b[6],c1,c2,c3);
- mul_add_c(a[4],b[5],c1,c2,c3);
- mul_add_c(a[5],b[4],c1,c2,c3);
- mul_add_c(a[6],b[3],c1,c2,c3);
- mul_add_c(a[7],b[2],c1,c2,c3);
- r[9]=c1;
- c1=0;
- mul_add_c(a[7],b[3],c2,c3,c1);
- mul_add_c(a[6],b[4],c2,c3,c1);
- mul_add_c(a[5],b[5],c2,c3,c1);
- mul_add_c(a[4],b[6],c2,c3,c1);
- mul_add_c(a[3],b[7],c2,c3,c1);
- r[10]=c2;
- c2=0;
- mul_add_c(a[4],b[7],c3,c1,c2);
- mul_add_c(a[5],b[6],c3,c1,c2);
- mul_add_c(a[6],b[5],c3,c1,c2);
- mul_add_c(a[7],b[4],c3,c1,c2);
- r[11]=c3;
- c3=0;
- mul_add_c(a[7],b[5],c1,c2,c3);
- mul_add_c(a[6],b[6],c1,c2,c3);
- mul_add_c(a[5],b[7],c1,c2,c3);
- r[12]=c1;
- c1=0;
- mul_add_c(a[6],b[7],c2,c3,c1);
- mul_add_c(a[7],b[6],c2,c3,c1);
- r[13]=c2;
- c2=0;
- mul_add_c(a[7],b[7],c3,c1,c2);
- r[14]=c3;
- r[15]=c1;
- }
+{
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[4], b[0], c2, c3, c1);
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ mul_add_c(a[0], b[4], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[0], b[5], c3, c1, c2);
+ mul_add_c(a[1], b[4], c3, c1, c2);
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ mul_add_c(a[4], b[1], c3, c1, c2);
+ mul_add_c(a[5], b[0], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[6], b[0], c1, c2, c3);
+ mul_add_c(a[5], b[1], c1, c2, c3);
+ mul_add_c(a[4], b[2], c1, c2, c3);
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ mul_add_c(a[2], b[4], c1, c2, c3);
+ mul_add_c(a[1], b[5], c1, c2, c3);
+ mul_add_c(a[0], b[6], c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[7], c2, c3, c1);
+ mul_add_c(a[1], b[6], c2, c3, c1);
+ mul_add_c(a[2], b[5], c2, c3, c1);
+ mul_add_c(a[3], b[4], c2, c3, c1);
+ mul_add_c(a[4], b[3], c2, c3, c1);
+ mul_add_c(a[5], b[2], c2, c3, c1);
+ mul_add_c(a[6], b[1], c2, c3, c1);
+ mul_add_c(a[7], b[0], c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[1], c3, c1, c2);
+ mul_add_c(a[6], b[2], c3, c1, c2);
+ mul_add_c(a[5], b[3], c3, c1, c2);
+ mul_add_c(a[4], b[4], c3, c1, c2);
+ mul_add_c(a[3], b[5], c3, c1, c2);
+ mul_add_c(a[2], b[6], c3, c1, c2);
+ mul_add_c(a[1], b[7], c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ mul_add_c(a[2], b[7], c1, c2, c3);
+ mul_add_c(a[3], b[6], c1, c2, c3);
+ mul_add_c(a[4], b[5], c1, c2, c3);
+ mul_add_c(a[5], b[4], c1, c2, c3);
+ mul_add_c(a[6], b[3], c1, c2, c3);
+ mul_add_c(a[7], b[2], c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ mul_add_c(a[7], b[3], c2, c3, c1);
+ mul_add_c(a[6], b[4], c2, c3, c1);
+ mul_add_c(a[5], b[5], c2, c3, c1);
+ mul_add_c(a[4], b[6], c2, c3, c1);
+ mul_add_c(a[3], b[7], c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ mul_add_c(a[4], b[7], c3, c1, c2);
+ mul_add_c(a[5], b[6], c3, c1, c2);
+ mul_add_c(a[6], b[5], c3, c1, c2);
+ mul_add_c(a[7], b[4], c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ mul_add_c(a[7], b[5], c1, c2, c3);
+ mul_add_c(a[6], b[6], c1, c2, c3);
+ mul_add_c(a[5], b[7], c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ mul_add_c(a[6], b[7], c2, c3, c1);
+ mul_add_c(a[7], b[6], c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[7], c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- mul_add_c(a[0],b[0],c1,c2,c3);
- r[0]=c1;
- c1=0;
- mul_add_c(a[0],b[1],c2,c3,c1);
- mul_add_c(a[1],b[0],c2,c3,c1);
- r[1]=c2;
- c2=0;
- mul_add_c(a[2],b[0],c3,c1,c2);
- mul_add_c(a[1],b[1],c3,c1,c2);
- mul_add_c(a[0],b[2],c3,c1,c2);
- r[2]=c3;
- c3=0;
- mul_add_c(a[0],b[3],c1,c2,c3);
- mul_add_c(a[1],b[2],c1,c2,c3);
- mul_add_c(a[2],b[1],c1,c2,c3);
- mul_add_c(a[3],b[0],c1,c2,c3);
- r[3]=c1;
- c1=0;
- mul_add_c(a[3],b[1],c2,c3,c1);
- mul_add_c(a[2],b[2],c2,c3,c1);
- mul_add_c(a[1],b[3],c2,c3,c1);
- r[4]=c2;
- c2=0;
- mul_add_c(a[2],b[3],c3,c1,c2);
- mul_add_c(a[3],b[2],c3,c1,c2);
- r[5]=c3;
- c3=0;
- mul_add_c(a[3],b[3],c1,c2,c3);
- r[6]=c1;
- r[7]=c2;
- }
-
-void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- sqr_add_c(a,0,c1,c2,c3);
- r[0]=c1;
- c1=0;
- sqr_add_c2(a,1,0,c2,c3,c1);
- r[1]=c2;
- c2=0;
- sqr_add_c(a,1,c3,c1,c2);
- sqr_add_c2(a,2,0,c3,c1,c2);
- r[2]=c3;
- c3=0;
- sqr_add_c2(a,3,0,c1,c2,c3);
- sqr_add_c2(a,2,1,c1,c2,c3);
- r[3]=c1;
- c1=0;
- sqr_add_c(a,2,c2,c3,c1);
- sqr_add_c2(a,3,1,c2,c3,c1);
- sqr_add_c2(a,4,0,c2,c3,c1);
- r[4]=c2;
- c2=0;
- sqr_add_c2(a,5,0,c3,c1,c2);
- sqr_add_c2(a,4,1,c3,c1,c2);
- sqr_add_c2(a,3,2,c3,c1,c2);
- r[5]=c3;
- c3=0;
- sqr_add_c(a,3,c1,c2,c3);
- sqr_add_c2(a,4,2,c1,c2,c3);
- sqr_add_c2(a,5,1,c1,c2,c3);
- sqr_add_c2(a,6,0,c1,c2,c3);
- r[6]=c1;
- c1=0;
- sqr_add_c2(a,7,0,c2,c3,c1);
- sqr_add_c2(a,6,1,c2,c3,c1);
- sqr_add_c2(a,5,2,c2,c3,c1);
- sqr_add_c2(a,4,3,c2,c3,c1);
- r[7]=c2;
- c2=0;
- sqr_add_c(a,4,c3,c1,c2);
- sqr_add_c2(a,5,3,c3,c1,c2);
- sqr_add_c2(a,6,2,c3,c1,c2);
- sqr_add_c2(a,7,1,c3,c1,c2);
- r[8]=c3;
- c3=0;
- sqr_add_c2(a,7,2,c1,c2,c3);
- sqr_add_c2(a,6,3,c1,c2,c3);
- sqr_add_c2(a,5,4,c1,c2,c3);
- r[9]=c1;
- c1=0;
- sqr_add_c(a,5,c2,c3,c1);
- sqr_add_c2(a,6,4,c2,c3,c1);
- sqr_add_c2(a,7,3,c2,c3,c1);
- r[10]=c2;
- c2=0;
- sqr_add_c2(a,7,4,c3,c1,c2);
- sqr_add_c2(a,6,5,c3,c1,c2);
- r[11]=c3;
- c3=0;
- sqr_add_c(a,6,c1,c2,c3);
- sqr_add_c2(a,7,5,c1,c2,c3);
- r[12]=c1;
- c1=0;
- sqr_add_c2(a,7,6,c2,c3,c1);
- r[13]=c2;
- c2=0;
- sqr_add_c(a,7,c3,c1,c2);
- r[14]=c3;
- r[15]=c1;
- }
-
-void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- sqr_add_c(a,0,c1,c2,c3);
- r[0]=c1;
- c1=0;
- sqr_add_c2(a,1,0,c2,c3,c1);
- r[1]=c2;
- c2=0;
- sqr_add_c(a,1,c3,c1,c2);
- sqr_add_c2(a,2,0,c3,c1,c2);
- r[2]=c3;
- c3=0;
- sqr_add_c2(a,3,0,c1,c2,c3);
- sqr_add_c2(a,2,1,c1,c2,c3);
- r[3]=c1;
- c1=0;
- sqr_add_c(a,2,c2,c3,c1);
- sqr_add_c2(a,3,1,c2,c3,c1);
- r[4]=c2;
- c2=0;
- sqr_add_c2(a,3,2,c3,c1,c2);
- r[5]=c3;
- c3=0;
- sqr_add_c(a,3,c1,c2,c3);
- r[6]=c1;
- r[7]=c2;
- }
+{
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
+
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
+{
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ sqr_add_c2(a, 4, 0, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 5, 0, c3, c1, c2);
+ sqr_add_c2(a, 4, 1, c3, c1, c2);
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ sqr_add_c2(a, 4, 2, c1, c2, c3);
+ sqr_add_c2(a, 5, 1, c1, c2, c3);
+ sqr_add_c2(a, 6, 0, c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 0, c2, c3, c1);
+ sqr_add_c2(a, 6, 1, c2, c3, c1);
+ sqr_add_c2(a, 5, 2, c2, c3, c1);
+ sqr_add_c2(a, 4, 3, c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ sqr_add_c(a, 4, c3, c1, c2);
+ sqr_add_c2(a, 5, 3, c3, c1, c2);
+ sqr_add_c2(a, 6, 2, c3, c1, c2);
+ sqr_add_c2(a, 7, 1, c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 7, 2, c1, c2, c3);
+ sqr_add_c2(a, 6, 3, c1, c2, c3);
+ sqr_add_c2(a, 5, 4, c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ sqr_add_c(a, 5, c2, c3, c1);
+ sqr_add_c2(a, 6, 4, c2, c3, c1);
+ sqr_add_c2(a, 7, 3, c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 7, 4, c3, c1, c2);
+ sqr_add_c2(a, 6, 5, c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ sqr_add_c(a, 6, c1, c2, c3);
+ sqr_add_c2(a, 7, 5, c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 6, c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ sqr_add_c(a, 7, c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
+
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
+{
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
#endif
projects / openssl.git / blobdiff